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Finding the Fourth Proportional to 616.12, 917.60 and 594.59

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Solution

The fourth proportional to 616.12, 917.60 and 594.59 is: 885.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.12 : 917.60 = 594.59 : x
  2. Step 2: Convert to fraction form
    616.12/917.60 = 594.59/x
  3. Step 3: Cross multiply
    616.12x = 917.60 × 594.59
  4. Step 4: Simplify right side
    616.12x = 545,588.22
  5. Step 5: Solve for x
    x = 545,588.22/616.12
  6. Step 6: Final answer
    x = 885.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.